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Probability Distributions/Binomial Distribution 1. 2. Questions 3-4 are binomially distributed.
3. A survey from the teenage Research Unlimited (Northbrook Illinois) found that 30% of teenage
jobs consumers receive their spending money from part time jobs. If 5 teenagers are selected at
random, find the probability of the following
a. 3 will have part time jobs
b. 4 will have part time jobs
c. 5 will have part time jobs
d. At least 3 have part time jobs
4. Thirty-two percent of adult internet users have purchased products or services online. For a
random sample of 200 adult internet users, find the mean, variance and standard deviation for
the number who have purchased goods or services online. Chapter 7: The Normal Distribution
5. Find the area under the standard normal distribution curve:
a. between z = 0 and z = 1.77
b. between z = 0.24 and z = ?2.14
c. To the right of z = 2.01
d. To the right of z =1.92 and to the left of z=-0.44
e. To the left of z = -2.15 and to the right of z= 1.62
6. Find probabilities for each, using the standard normal distribution:
a. P (0 < z < 1.96)
b. P (z > 2.51)
c. P (1.51 < z < 2.17)
7. The average annual salary for all U.S. teachers is $47,750. Assume that that distribution is
normal and the standard deviation is $5680. Find the probability that a randomly selected
sample of teachers earns. (give both answers to four decimal places)
a. Between $35,000 and $45,000 a year
b. More than $40,000 a year.
For Questions 8 ? 9, create a scatterplot of data, compute the correlation coefficient,
(r), determine whether a linear relation exists, comment on the nature of the
association (i.e. positive or negative) if it exists.
2 9. For each data set below (In questions 10 and 11), determine the least-squares regression line
equation (y = ax+b). (Hint: View the videos)
2.6 11. 6
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